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Finding the Third Proportional to 239,374.25 and 354,439.50

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Solution

The third proportional to 239,374.25 and 354,439.50 is: 524,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,374.25 : 354,439.50 = 354,439.50 : x
  2. Step 2: Convert to fraction form
    239,374.25/354,439.50 = 354,439.50/x
  3. Step 3: Cross multiply
    239,374.25x = 354,439.50 × 354,439.50
  4. Step 4: Simplify right side
    239,374.25x = 125,627,359,160.25
  5. Step 5: Solve for x
    x = 125,627,359,160.25/239,374.25
  6. Step 6: Final answer
    x = 524,815.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.